Nuclear threat detection with mobile distributed sensor networks
The ability to track illicit radioactive source in an urban environment is critical in national security applications. To this end, two modes of operation are common: positioning individual portal monitors, and deploying a network of distributed sensors. We address here the use of multiple detectors, mounted on moving vehicles, for the purpose of detecting nuclear threats. An example scenario is that of multiple taxi cabs each carrying a detector. The detectors’ positions are known in real-time as these are continuously reported from GPS data. The level of detected risk is then reported from each detector at each position. The problem is to delineate the presence of a potentially dangerous source and its approximate location by identifying a small area that has an elevated concentration of reported risk. This problem of using spatially deployed mobile detector networks to identify and locate risks is modeled and formulated here. The problem is shown to be solvable in polynomial time and with a combinatorial network flow algorithm. The efficiency of the algorithm enable its use in real time, and in areas containing a large number of deployed detectors. A simulation study, that takes into account false-positive and false-negatives reports from individual sensors, demonstrates the effectiveness of the algorithm in using the sensor network’s detection capabilities.
- Berger, M. J., Hubbell, J. H., Seltzer, S. M., Chang, J., Coursey, J. S., Sukumar, R., & Zucker, D. S. (1998). Xcom: Photon cross sections database. Standard reference database 8 (xgam). National Institute of Standards and Technology. Google Scholar
- Chandran, B., & Hochbaum, D. S. (2009). Pseudoflow solver. http://riot.ieor.berkeley.edu/riot/Applications/Pseudoflow/maxflow.html.
- Cunningham, C. T. (1995). Detecting and track of a stochastic target using multiple measurements (Technical Report UCRL-ID 122786). Lawrence Livermore National Laboratory. Google Scholar
- Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 339–404. Google Scholar
- Hochbaum, D. S. (2009). The multi-sensor nuclear threat detection problem. In J. W. Chinneck, B. Kristjansson, & M. J. Saltzman (Eds.), Operations research/computer science interfaces series : Vol. 47. Operations research and cyber-infrastructure (pp. 389–399). New York: Springer. CrossRefGoogle Scholar
- Schaller, B. (2006). The New York city taxicab fact book (Technical report). Schaller Consulting, 94 Windsor Place, Brooklyn, NYC, NY, US. Google Scholar
- UN Scientific Committee on Effects of Atomic Radiation (2000). Report to the general assembly, with scientific annexes, volume I: Sources (Technical report). United Nations General Assembly. Google Scholar
- Unger, L. M., & Trubey, D. K. (1982). Specific gamma-ray dose constants for nuclides important to dosimetry and radiological assessment (Technical Report ORNL/RSIC-45/R1). Oak Ridge National Laboratory. Google Scholar
- University of California at Berkeley (2009). Domestic nuclear threat security initiative. http://donuts.berkeley.edu.